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Finding the Fourth Proportional to 400.08, 599.85 and 156.63

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Solution

The fourth proportional to 400.08, 599.85 and 156.63 is: 234.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    400.08 : 599.85 = 156.63 : x
  2. Step 2: Convert to fraction form
    400.08/599.85 = 156.63/x
  3. Step 3: Cross multiply
    400.08x = 599.85 × 156.63
  4. Step 4: Simplify right side
    400.08x = 93,954.51
  5. Step 5: Solve for x
    x = 93,954.51/400.08
  6. Step 6: Final answer
    x = 234.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.